Representation theory : a first course / William Fulton, Joe Harris.
"The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unif...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
2004.
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| Series: | Graduate texts in mathematics ;
129. |
| Subjects: |
| Summary: | "The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the example-oriented approach of the earlier parts and the general theory."--Publisher description. |
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| Item Description: | Reprint: originally published 1991. |
| Physical Description: | xv, 551 pages : illustrations ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages 536-541) and index. |
| ISBN: | 0387974954 9780387974958 0387975276 9780387975276 3540975276 9783540975274 3540974954 9783540974956 |